{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Phonon Dispersion\n",
    "## Introduction\n",
    "In this example, we use harmonic lattice dynamics to calculate the phonon dispersion of diamond silicon using a Tersoff potential. If you use a NEP model, we recommend you try the [calorine](https://calorine.materialsmodeling.org/) package. It may make your life easier by significantly simplifying the process."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Importing Relevant Functions\n",
    "The inputs/outputs for GPUMD are processed using the [Atomic Simulation Environment (ASE)](https://wiki.fysik.dtu.dk/ase/) package."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pylab import *\n",
    "from ase.build import bulk\n",
    "from ase.io import write"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preparting the Inputs\n",
    "The structure as specified is 64-atom diamond silicon at zero temperature and zero pressure. \n",
    "We use the minimal Tersoff potential [[Fan 2020]](https://doi.org/10.1088/1361-648X/ab5c5f).\n",
    "\n",
    "### Generate the  [model.xyz](https://gpumd.org/gpumd/input_files/model_xyz.html) file:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create Si Unit Cell & Add Basis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Atoms(symbols='Si2', pbc=True, cell=[[0.0, 2.717, 2.717], [2.717, 0.0, 2.717], [2.717, 2.717, 0.0]])"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a=5.434\n",
    "Si_UC = bulk('Si', 'diamond', a=a)\n",
    "Si_UC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_atoms = len(Si_UC)\n",
    "Si_UC.unitcell = list(range(num_atoms))\n",
    "Si_UC.basis = list(range(num_atoms))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Transform Si to Cubic Supercell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Atoms(symbols='Si64', pbc=True, cell=[10.868, 10.868, 10.868])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create 8 atom diamond structure\n",
    "Si = Si_UC.repeat([2,2,1])\n",
    "Si.set_cell([a, a, a])\n",
    "Si.wrap()\n",
    "\n",
    "# Complete full supercell\n",
    "Si = Si.repeat([2,2,2])\n",
    "Si"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Write [model.xyz](https://gpumd.org/gpumd/input_files/model_xyz.html) File"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "write(\"model.xyz\", Si)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Write [basis.in](https://gpumd.org/gpumd/input_files/basis_in.html) File\n",
    "- The [basis.in](https://gpumd.org/gpumd/input_files/basis_in.html) file reads:\n",
    "```\n",
    "2\n",
    "0 28\n",
    "4 28\n",
    "0\n",
    "0\n",
    "0\n",
    "0\n",
    "1\n",
    "1\n",
    "1\n",
    "1\n",
    "...\n",
    "```\n",
    "- Here the primitive cell is chosen as the unit cell. There are only two basis atoms in the unit cell, as indicated by the number 2 in the first line.\n",
    "\n",
    "- The next two lines list the indices (0 and 4) and masses (both are 28 amu) for the two basis atoms.\n",
    "\n",
    "- The next lines map all the atoms (including the basis atoms) in the super cell to the basis atoms: atoms equivalent to atom 0 have a label 0, and atoms equivalent to atom 1 have a label 1.\n",
    "\n",
    "**Note:** The [basis.in](https://gpumd.org/gpumd/input_files/basis_in.html) file generated by this Jupyter notebook may look different, but the same concepts apply and the results will be the same."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "N_basis = 2\n",
    "string = f\"{N_basis}\\n0 28\\n1 28\\n\" + \"0\\n1\\n\" * 32\n",
    "\n",
    "with open(\"basis.in\", \"w\") as f:\n",
    "    f.write(string)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Write [kpoints.in](https://gpumd.org/gpumd/input_files/kpoints_in.html) File\n",
    "- The $k$ vectors are defined in the reciprocal space with respect to the unit cell chosen in the [basis.in](https://gpumd.org/gpumd/input_files/basis_in.html) file.\n",
    "- We use the $\\Gamma-X-K-\\Gamma-L$ path, with 400 $k$ points in total."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "tol = 1e-15\n",
    "npoints = 400\n",
    "path = Si_UC.cell.bandpath(path='GXKGL', npoints=npoints)\n",
    "b = Si_UC.cell.reciprocal() * 2 * np.pi\n",
    "gpumd_kpts = np.matmul(path.kpts, b)\n",
    "gpumd_kpts[np.abs(gpumd_kpts) < tol] = 0.0\n",
    "\n",
    "np.savetxt(\"kpoints.in\", gpumd_kpts, header=str(npoints), comments='', fmt='%g')\n",
    "\n",
    "linear_path, sym_points, labels = path.get_linear_kpoint_axis()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The `run.in` file:\n",
    "The [run.in input file](https://gpumd.org/gpumd/input_files/run_in.html) is given below:<br>\n",
    "```\n",
    "potential       ../../../potentials/tersoff/Si_Fan_2019.txt\n",
    "compute_phonon  5 0.005 # in units of A\n",
    "```\n",
    "\n",
    "- The first line with the [potential](https://gpumd.org/gpumd/input_parameters/potential.html) keyword states that the potential to be used is specified in the file [Si_Fan_2019.txt](https://github.com/brucefan1983/GPUMD/blob/master/potentials/tersoff/Si_Fan_2019.txt).\n",
    "\n",
    "- The second line with the [compute_phonon](https://gpumd.org/gpumd/input_parameters/compute_phonon.html) keyword tells that the force constants will be calculated with a cutoff of 5.0 $\\mathring A$ (here the point is that first and second nearest neighbors need to be included) and a displacement of 0.005 $\\mathring A$ will be used in the finite-displacement method."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Results and Discussion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Figure Properties"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "aw = 2\n",
    "fs = 24\n",
    "font = {'size'   : fs}\n",
    "matplotlib.rc('font', **font)\n",
    "matplotlib.rc('axes' , linewidth=aw)\n",
    "\n",
    "def set_fig_properties(ax_list):\n",
    "    tl = 8\n",
    "    tw = 2\n",
    "    tlm = 4\n",
    "    \n",
    "    for ax in ax_list:\n",
    "        ax.tick_params(which='major', length=tl, width=tw)\n",
    "        ax.tick_params(which='minor', length=tlm, width=tw)\n",
    "        ax.tick_params(which='both', axis='both', direction='in', right=True, top=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot Phonon Dispersion\n",
    "The [omega2.out](https://gpumd.org/gpumd/output_files/omega2_out.html) output file is loaded and processed to create the following figure. The previously defined kpoints are used for the $x$-axis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\hityingph\\AppData\\Local\\Temp\\ipykernel_3172\\3130309619.py:2: RuntimeWarning: invalid value encountered in sqrt\n",
      "  nu = np.sqrt(omega2_array)/(2*np.pi)\n"
     ]
    }
   ],
   "source": [
    "omega2_array = np.loadtxt(\"omega2.out\")\n",
    "nu = np.sqrt(omega2_array)/(2*np.pi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(10,10))\n",
    "set_fig_properties([gca()])\n",
    "vlines(sym_points, ymin=0, ymax=17)\n",
    "plot(linear_path, nu, color='C0',lw=3)\n",
    "xlim([0, max(linear_path)])\n",
    "gca().set_xticks(sym_points)\n",
    "gca().set_xticklabels([r'$\\Gamma$','X', 'K', r'$\\Gamma$', 'L'])\n",
    "ylim([0, 17])\n",
    "ylabel(r'$\\nu$ (THz)')\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Phonon dispersion of silicon crystal described by the mini-Tersoff potential."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The above figure shows the phonon dispersion of silicon crystal described by the mini-Tersoff potential [[Fan 2020]](https://doi.org/10.1088/1361-648X/ab5c5f)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "[Fan 2020] Zheyong Fan, Yanzhou Wang, Xiaokun Gu, Ping Qian, Yanjing Su, and Tapio Ala-Nissila, [A minimal Tersoff potential for diamond silicon with improved descriptions of elastic and phonon transport properties](https://doi.org/10.1088/1361-648X/ab5c5f), J. Phys.: Condens. Matter **32** 135901 (2020)."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
